A student performed the experiment of determination of focal length of a concave mirror by (u-v) method using an optical bench of length `1.5m`. The focal length of the mirror used is `24 cm`. The maximum error in the location of the image can be ` 0.2 cm`. The 5 sets of (u,v) values recorded by the student (in cm) are `(42,56), (48,48),(60,33),(78,39)`. the data set (s) that cannot come from experiment and is (are) incorrectly recorded, is (are)
(a) `(42,56)`
(b)`(48,48)`
(c)` (66,33)`
(d) `(78,39)`.

Explanation

To determine which sets of (u, v) values recorded by the student are incorrectly recorded, we will use the formula for the focal length (F) of a concave mirror given by:

\[ F = \frac{uv}{u + v} \]

where:
- \( u \) is the object distance,
...